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A342863
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Irregular table read by rows: T(n,k) is the number of permutations in S_n that have exactly k occurrences of the pattern 1243. 0 <= k <= A028723(n + 1).
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6
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1, 1, 2, 6, 23, 1, 103, 11, 4, 2, 513, 88, 56, 32, 14, 7, 9, 0, 0, 1, 2761, 638, 543, 341, 235, 138, 173, 51, 42, 47, 34, 6, 17, 4, 0, 7, 1, 0, 2, 15767, 4478, 4600, 3119, 2658, 1710, 2180, 972, 975, 877, 771, 356, 542, 233, 184, 266, 157, 81, 130, 41, 60, 49, 16, 16, 37, 8, 9, 13, 3, 0, 10, 1, 0, 0, 0, 0, 1
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OFFSET
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0,3
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COMMENTS
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Equivalently the table for the patterns 2134, 3421, and 4312.
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LINKS
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EXAMPLE
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Table begins:
n\k| 0 1 2 3 4 5 6
---+-------------------------------------------------------------------
0 | 1;
1 | 1;
2 | 2;
3 | 6;
4 | 23, 1;
5 | 103, 11, 4, 2;
6 | 513, 88, 56, 32, 14, 7, 9, ...
7 | 2761, 638, 543, 341, 235, 138, 173, ...
8 | 15767, 4478, 4600, 3119, 2658, 1710, 2180, ...
9 | 94359, 31199, 36691, 26602, 25756, 17628, 22984, ...
10 | 586590, 218033, 284370, 218957, 231390, 166338, 221429, ...
11 | 3763290, 1535207, 2174352, 1767837, 1994176, 1496134, 2028316, ...
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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